Question

Use the geometric definition of the cross product and the properties of the cross product to make the following calculation:

((JXK)XJ)XK.
a. j
b. i
c. k
d. 0

Answer 1

The cross product of ((JXK)XJ)XK is zero.

Step-by-step explanation:

To calculate ((JXK)XJ)XK, we can use the properties and definition of the cross product.

According to the definition of cross product, îxî - ĵxĵ = kxk = 0. This means that any cross product of the unit vectors î and ĵ will have a magnitude of 1 and will be either in the positive or negative k direction.

Since ((JXK)XJ)XK consists of cross products of these unit vectors, the result will be either in the positive or negative k direction. Therefore, the correct answer is (d) 0.